Answer
Domain: $[-2,\infty)$
Range: $[0,\infty)$
Work Step by Step
The given function is a square root function:
$F(x)=\sqrt {5x+10}$
Because the square root function is defined when the radicand is greater or equal zero, we have:
$5x+10\geq0$
$5x\geq-10$
$x\geq-2$
which makes the domain $[-2,\infty)$.
Because the square root of a number is greater or equal zero, the range is $[0,\infty)$.
